TABLES OF PROLATE SPHEROIDAL FUNCTIONS FOR M EQUALS O. VOLUME I.

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Abstract:

The eigenvalues lambda c and normalization constants Nc are tabulated for c 0.10.110.0 and n ranging from 0 up to a maximum of 20. The radial functions of the first and second kinds, and their first derivatives, are given for the same c and n for xi 1.0000500, 1.0050378, 1.0206207 and 1.1547005, corresponding to prolate spheroids of length-to-width ratios 1001, 101, 51 and 21 respectively. Values of the angular functions are contained in a companion report 7133-2-T. All computations were carried out on The University of Michigan IBM 7090 computer. The program, which can also be used for the determination of the functions of orders 1 and 2, is described in some detail. Author

Author(s):
Hunter, H. E. ; Kirk, D. B. ; Senior, T. B. A. ; Wittenberg, E. R.
Author Organization(s):
MICHIGAN UNIV ANN ARBOR RADIATION LAB
Descriptive Note:
Scientific rept.,
Annotation:
Tables of prolate spheroidal functions for m equals 0: Volume I.
Pagination:
0288

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
SR-1 v1, 7133-1-T
Contract/Grant Number(s):
AF19 628 4328
Task Number(s):
563502
Project Number(s):
5635
Monitor Series:
65-283 V1
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*FUNCTIONS(MATHEMATICS), SPHERES), (*TABLES(DATA), FUNCTIONS(MATHEMATICS)), ELLIPSOIDS, PARTIAL DIFFERENTIAL EQUATIONS, SERIES(MATHEMATICS), ELECTROMAGNETIC RADIATION, SCATTERING, COMPUTER PROGRAMMING
Report Date:
1965 Apr 01